Advertisements
Advertisements
Question
Nasreena is a farmer who wants to divide her land equally among her three children — Chumki, Jhumri, and Imran. She wants to divide the land so that each piece of land has one tree. Her land looks like this.

- Can you divide the land equally? Show how you will divide it. Remember each person has to get a tree. Colour each person’s piece of land differently.
Advertisements
Solution
Total number of boxes = 90
Hence, one person’s share
= 90/3 = 30
The division can be done as the given figure.

APPEARS IN
RELATED QUESTIONS
In the below fig. ∠AOB = 90°, AC = BC, OA = 12 cm and OC = 6.5 cm. Find the area of
ΔAOB.

Diagonals AC and BD of a quadrilateral ABCD intersect each other at P. Show that:
ar(ΔAPB) × ar(ΔCPD) = ar(ΔAPD) × ar (ΔBPC)
If AD is a median of a triangle ABC, then prove that triangles ADB and ADC are equal in
area. If G is the mid-point of median AD, prove that ar (Δ BGC) = 2 ar (Δ AGC).
ABCD is a parallelogram in which BC is produced to E such that CE = BC. AE intersects
CD at F.
(i) Prove that ar (ΔADF) = ar (ΔECF)
(ii) If the area of ΔDFB = 3 cm2, find the area of ||gm ABCD.
In below fig., PSDA is a parallelogram in which PQ = QR = RS and AP || BQ || CR. Prove
that ar (Δ PQE) = ar (ΔCFD).

In the below fig. X and Y are the mid-points of AC and AB respectively, QP || BC and
CYQ and BXP are straight lines. Prove that ar (Δ ABP) = ar (ΔACQ).

P is any point on base BC of ΔABC and D is the mid-point of BC. DE is drawn parallel toPA to meet AC at E. If ar (ΔABC) = 12 cm2, then find area of ΔEPC.
The median of a triangle divides it into two ______.
If AD is median of ΔABC and P is a point on AC such that
ar (ΔADP) : ar (ΔABD) = 2 : 3, then ar (Δ PDC) : ar (Δ ABC)
Medians of ΔABC intersect at G. If ar (ΔABC) = 27 cm2, then ar (ΔBGC) =
The perimeter of a triangle ABC is 37 cm and the ratio between the lengths of its altitudes be 6: 5: 4. Find the lengths of its sides.
Let the sides be x cm, y cm, and (37 - x - y) cm. Also, let the lengths of altitudes be 6a cm, 5a cm, and 4a cm.
Find the area of a rectangle whose length = 24 cm breadth =180 mm
Each side of a square is 7 m. If its each side be increased by 3 m, what will be the increase in its area.
The side of a square field is 16 m. What will be increase in its area, if each of its sides is doubled?
Which has the bigger area - one of your footprints or the page of this book?
Altogether how many squares can be arranged on it?
If each square on this page is equal to 1 square meter of land, how much land will each of her children get? ________ square m
Look at the table. If you were to write the area of each of these which column would you choose? Make a (✓).
| Square cm |
Square meter |
Square km |
|
| Handkerchief | ✓ | ||
| Sari | |||
| Page of your book | |||
| School land | |||
| Total land of a city | |||
| Door of your classroom | |||
| Chair seat | |||
| Blackboard | |||
| Indian flag | |||
| Land over which a river flows |
Each line gives a story. You have to choose the question which makes the best story problem. The first one is already marked.
- A shopkeeper has 204 eggs. He puts them in egg trays. Each tray has 12 eggs.
a) How many more eggs will he need? b) How many fresh eggs does he sell? c) How many egg trays does he need?
In the following figure, the area of parallelogram ABCD is ______.

The amount of region enclosed by a plane closed figure is called its ______.
Area of a rectangle with length 5 cm and breadth 3 cm is ______.
Find all the possible dimensions (in natural numbers) of a rectangle with a perimeter 36 cm and find their areas.
Find the area of the following figure by counting squares:

Find the area of the following figure by counting squares:

Find the area of the following figure by counting squares:

